70a^2b+99ab-9b=0

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Solution for 70a^2b+99ab-9b=0 equation:


Simplifying
70a2b + 99ab + -9b = 0

Reorder the terms:
99ab + 70a2b + -9b = 0

Solving
99ab + 70a2b + -9b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(99a + 70a2 + -9) = 0

Factor a trinomial.
b((35a + -3)(2a + 3)) = 0

Subproblem 1

Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(35a + -3)' equal to zero and attempt to solve: Simplifying 35a + -3 = 0 Reorder the terms: -3 + 35a = 0 Solving -3 + 35a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 35a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 35a = 0 + 3 35a = 0 + 3 Combine like terms: 0 + 3 = 3 35a = 3 Divide each side by '35'. a = 0.08571428571 Simplifying a = 0.08571428571

Subproblem 3

Set the factor '(2a + 3)' equal to zero and attempt to solve: Simplifying 2a + 3 = 0 Reorder the terms: 3 + 2a = 0 Solving 3 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 0 + -3 2a = 0 + -3 Combine like terms: 0 + -3 = -3 2a = -3 Divide each side by '2'. a = -1.5 Simplifying a = -1.5

Solution

a = {0.08571428571, -1.5}

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